It could be a rash or herpes.
Try benadryll if you thinkits a rash. Or over thecounter herpes medication. Hopefully one will work
If it is a cold-sore the first outbreak is the worst. I've actually gotten tiny little burning bumps in the corners of my mouth. The rest of my lips were dry and cracked. Over the counter stuff works. The doctor may give you steroids. It's a very popular virus nothing to worry about most people have it.
I've also had a rash from eating the skin of a mango. THe little bumps spread off my lips and onto my face. Benadryll worked well for that. You could be allergic to something.
Good luck if it doesn't clear doctors are so much fun